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MiS Preprint
73/2020
Factor maps of collective dynamics and hyperspace entropy
Sharwin Rezagholi
Abstract
Given a topological dynamical system, we consider its induced collective dynamics on the space of probability measures with the weak topology and on the hyperspace of closed subsets with the lower Vietoris topology. We show that the support of measures is a factor map between these collective dynamics, and that the topological entropy of the induced hyperspace system equals the entropy of the base system.
